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Finding the Fourth Proportional to 82,547.73, 123,750.45 and 35,119.40

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Solution

The fourth proportional to 82,547.73, 123,750.45 and 35,119.40 is: 52,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,547.73 : 123,750.45 = 35,119.40 : x
  2. Step 2: Convert to fraction form
    82,547.73/123,750.45 = 35,119.40/x
  3. Step 3: Cross multiply
    82,547.73x = 123,750.45 × 35,119.40
  4. Step 4: Simplify right side
    82,547.73x = 4,346,040,934.98
  5. Step 5: Solve for x
    x = 4,346,040,934.98/82,547.73
  6. Step 6: Final answer
    x = 52,648.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.